论文标题

紧凑型k“ ahler歧管,霍奇结构的复杂变化的类别

Categories of complex variations of Hodge structure over compact K"ahler manifolds

论文作者

Kasuya, Hisashi

论文摘要

我们在紧凑的k“ ahler歧管$ m $上给出了复杂的霍迪格结构的复杂极化变化,该变化控制了$ m $及其张量关系的所有有限维型复杂的极化变化。

We give a complex polarized variation of Hodge structure over a compact K"ahler manifold $M$ which controls all finite-dimensional complex polarized variations of Hodge structure over $M$ and their tensor relations. As a corollary, we obtain the cohomology algebra with values in a local system admitting multiplicative Hodge structures.

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